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A car manufacturer, Swanson, claims that the mean lifetime of one of its car engines is greater than 220,010 miles, which is the mean lifetime of the engine of a competitor

Math Apr 13, 2022

A car manufacturer, Swanson, claims that the mean lifetime of one of its car engines is

greater than 220,010 miles, which is the mean lifetime of the engine of a competitor. The

mean lifetime for a random sample of 28 of the Swanson engines was x = 226,450 miles

with a standard deviation, s, of 11,506 miles. Test the Swanson's claim using a significance

level of α = 0.05.

 

A. P-value = 0.00669 < 0.05, reject the null hypothesis. There is enough evidence to conclude that the mean lifetime of this car engine is greater than 220,010 miles.

 

B. P-value = 0.00416 < 0.05, reject the null hypothesis. There is enough evidence to conclude that the mean lifetime of this car engine is greater than 220,010 miles.

 

C. P-value = 0.00631 < 0.05, reject the null hypothesis. There is enough evidence to conclude that the mean lifetime of this car engine is greater than 220,010 miles.

 

D. P-value = 0.00316 < 0.05, reject the null hypothesis. There is enough evidence to conclude that the mean lifetime of this car engine is greater than 220,010 miles.

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